To "run a gauntlet" is when someone runs quickly between 2 lines of people who beat him with sticks as he runs--in the figurative sense it means to undergo a strenuous and painful test. (The runner must make it all the way through without collapsing, otherwise I guess he is beaten to death.) So, your text means that good ideas should be adopted without delay, the implication being that academia is very very slow to adopt new ideas.

Actually, it says, 'ideas', not 'good ideas'. Taken as is it says we should be experimental - fine to a point, but unless we're building on what we have learned, we're re-inventing the wheel (at best).
Ideas SHOULD be made to run a gauntlet. The ones that have run the "gauntlet of history" work.
We know that we should teach grammar, and we know that we should teach usage, thanks to that "gauntlet".
Don't knock tradition altogether. In other words, don't throw the baby out with the bathwater.
Having said that, go try the new idea once in a while! Make it run the gauntlet. But after you get egg on your face a few times, you'll appreciate the gauntlet better.